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Applied and Computational Harmonic Analysis

Time-Frequency and Time-Scale Analysis, Wavelets, Numerical Algorithms, and Applications

Short Title: Appl. Comput. Harmon. Anal.
Publisher: Elsevier (Academic Press), Orlando, FL
ISSN: 1063-5203
Online: http://www.sciencedirect.com/science/journal/10635203
Comments: Indexed cover-to-cover
Documents Indexed: 1,290 Publications (since 1993)
References Indexed: 1,149 Publications with 34,189 References.
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...and 56 more Volumes
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Authors

31 Chui, Charles Kam-tai
25 Coifman, Ronald Raphaël
24 Han, Bin
22 Shen, Zuowei
20 Beylkin, Gregory
19 Averbuch, Amir Z.
16 Rokhlin, Vladimir
13 Christensen, Ole
13 Goh, Say Song
13 Sun, Qiyu
12 Aldroubi, Akram
12 Fickus, Matthew C.
12 Jiang, Qingtang
12 Kutyniok, Gitta
12 Mhaskar, Hrushikesh N.
12 Shen, Lixin
12 Zhou, Dingxuan
11 Labate, Demetrio
11 Monzón, Lucas
10 Daubechies, Ingrid Chantal
10 Gribonval, Rémi
10 Wang, Yang
9 Casazza, Peter George
9 Han, Deguang
9 Kim, Hong Oh
9 Li, Song
9 Mixon, Dustin G.
9 Shkolnisky, Yoel
9 Unser, Michael A.
9 Vandergheynst, Pierre
9 Wu, Hau-Tieng
9 Zhuang, Xiaosheng
8 Baraniuk, Richard G.
8 Cohen, Albert
8 Dong, Bin
8 Donoho, David Leigh
8 Dyn, Nira
8 Iglewska-Nowak, Ilona
8 Ji, Hui
8 Lai, Mingjun
8 Meyer, Yves F.
8 Nielsen, Morten
8 Pfander, Götz E.
8 Rauhut, Holger
8 Sun, Wenchang
8 Wolf, Guy
8 Xu, Yuesheng
7 Adcock, Ben
7 Bermanis, Amit
7 Cai, Jian-Feng
7 Candès, Emmanuel J.
7 Cloninger, Alexander
7 Eldar, Yonina Chana
7 Führ, Hartmut
7 Gröchenig, Karlheinz
7 Grohs, Philipp
7 Kim, Rae Young
7 Saito, Naoki
7 Singer, Amit
7 Stöckler, Joachim
7 Zhou, Xingwei
6 Antoine, Jean-Pierre
6 Bodmann, Bernhard G.
6 Bremer, James C.
6 Cabrelli, Carlos A.
6 Elad, Michael
6 Goodman, Timothy N. T.
6 Guo, Kanghui
6 He, Wenjie
6 Li, Shidong
6 Mallat, Stephane Georges
6 Salhov, Moshe
6 Strohmer, Thomas
6 Tygert, Mark
6 Wang, Jianzhong
6 Wilson, Edward N.
6 Yang, Haizhao
5 Benedetto, John J.
5 Bownik, Marcin
5 Calderbank, Arthur Robert
5 Chan, Raymond Hon-Fu
5 Charina, Maria
5 Chen, Dirong
5 Cordero, Elena
5 Davenport, Mark A.
5 Giryes, Raja
5 Hansen, Anders C.
5 Hernandez, Eugenio
5 Jaffard, Stéphane
5 Lim, Jae Kun
5 Maggioni, Mauro
5 Osipov, Andreĭ V.
5 Plonka, Gerlind
5 Potts, Daniel
5 Saab, Rayan
5 Schneider, Kai
5 Shi, Xianliang
5 Skopina, Maria A.
5 Tanner, Jared W.
5 Torrésani, Bruno S.
...and 1,434 more Authors
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Fields

722 Harmonic analysis on Euclidean spaces (42-XX)
452 Information and communication theory, circuits (94-XX)
369 Numerical analysis (65-XX)
144 Computer science (68-XX)
125 Approximations and expansions (41-XX)
113 Statistics (62-XX)
79 Functional analysis (46-XX)
70 Probability theory and stochastic processes (60-XX)
59 Partial differential equations (35-XX)
51 Operations research, mathematical programming (90-XX)
50 Linear and multilinear algebra; matrix theory (15-XX)
41 Operator theory (47-XX)
33 Abstract harmonic analysis (43-XX)
29 Special functions (33-XX)
27 Combinatorics (05-XX)
26 Biology and other natural sciences (92-XX)
25 Integral transforms, operational calculus (44-XX)
21 Systems theory; control (93-XX)
15 Quantum theory (81-XX)
14 Real functions (26-XX)
14 Measure and integration (28-XX)
14 Integral equations (45-XX)
14 Calculus of variations and optimal control; optimization (49-XX)
13 Potential theory (31-XX)
12 Topological groups, Lie groups (22-XX)
12 Ordinary differential equations (34-XX)
12 Global analysis, analysis on manifolds (58-XX)
10 Functions of a complex variable (30-XX)
10 Optics, electromagnetic theory (78-XX)
9 Geophysics (86-XX)
8 Group theory and generalizations (20-XX)
7 Number theory (11-XX)
7 Dynamical systems and ergodic theory (37-XX)
6 Differential geometry (53-XX)
6 Fluid mechanics (76-XX)
5 Difference and functional equations (39-XX)
5 Convex and discrete geometry (52-XX)
4 Astronomy and astrophysics (85-XX)
3 General and overarching topics; collections (00-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Algebraic geometry (14-XX)
2 Sequences, series, summability (40-XX)
2 Mechanics of particles and systems (70-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Commutative algebra (13-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)
1 Mechanics of deformable solids (74-XX)
1 Relativity and gravitational theory (83-XX)

Publications by Year

Citations contained in zbMATH Open

1,084 Publications have been cited 15,189 times in 7,695 Documents Cited by Year
Framelets: MRA-based constructions of wavelet frames. Zbl 1035.42031
Daubechies, Ingrid; Han, Bin; Ron, Amos; Shen, Zuowei
280
2003
Diffusion maps. Zbl 1095.68094
Coifman, Ronald R.; Lafon, Stéphane
275
2006
Wavelets on the interval and fast wavelet transforms. Zbl 0795.42018
Cohen, Albert; Daubechies, Ingrid; Vial, Pierre
274
1993
CoSaMP: Iterative signal recovery from incomplete and inaccurate samples. Zbl 1163.94003
Needell, D.; Tropp, J. A.
213
2009
Grassmannian frames with applications to coding and communication. Zbl 1028.42020
Strohmer, Thomas; Heath, Robert W. jun.
185
2003
Iterative hard thresholding for compressed sensing. Zbl 1174.94008
Blumensath, Thomas; Davies, Mike E.
178
2009
The lifting scheme: A custom-design construction of biorthogonal wavelets. Zbl 0874.65104
Sweldens, Wim
156
1996
Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition. Zbl 0826.65117
Donoho, David L.
144
1995
The theory of multiresolution analysis frames and applications to filter banks. Zbl 0915.42029
Benedetto, John J.; Li, Shidong
136
1998
Sparsest solutions of underdetermined linear systems via \( \ell _q\)-minimization for \(0<q\leqslant 1\). Zbl 1171.90014
Foucart, Simon; Lai, Ming-Jun
134
2009
On signal reconstruction without phase. Zbl 1090.94006
Balan, Radu; Casazza, Pete; Edidin, Dan
133
2006
Quantized frame expansions with erasures. Zbl 0992.94009
Goyal, Vivek K.; Kovačević, Jelena; Kelner, Jonathan A.
122
2001
Compactly supported tight and sibling frames with maximum vanishing moments. Zbl 1016.42023
Chui, Charles K.; He, Wenjie; Stöckler, Joachim
121
2002
Fusion frames and distributed processing. Zbl 1258.42029
Casazza, Peter G.; Kutyniok, Gitta; Li, Shidong
119
2008
On dual wavelet tight frames. Zbl 0880.42017
Han, Bin
111
1997
Diagonal forms of translation operators for the Helmholtz equation in three dimensions. Zbl 0795.35021
Rokhlin, V.
101
1993
A framelet-based image inpainting algorithm. Zbl 1135.68056
Cai, Jian-Feng; Chan, Raymond H.; Shen, Zuowei
95
2008
Diffusion wavelets. Zbl 1095.94007
Coifman, Ronald R.; Maggioni, Mauro
92
2006
Compactly supported tight frames associated with refinable functions. Zbl 0948.42022
Chui, Charles K.; He, Wenjie
89
2000
Compressed sensing with coherent and redundant dictionaries. Zbl 1215.94026
Candès, Emmanuel J.; Eldar, Yonina C.; Needell, Deanna; Randall, Paige
88
2011
Biorthogonal spline wavelets on the interval – stability and moment conditions. Zbl 0922.42021
Dahmen, Wolfgang; Kunoth, Angela; Urban, Karsten
88
1999
Simultaneous cartoon and texture image inpainting using morphological component analysis (MCA). Zbl 1081.68732
Elad, M.; Starck, J.-L.; Querre, P.; Donoho, D. L.
82
2005
Shannon sampling. II: Connections to learning theory. Zbl 1107.94008
Smale, Steve; Zhou, Ding-Xuan
80
2005
The wavelet element method. I: Construction and analysis. Zbl 0949.42024
Canuto, Claudio; Tabacco, Anita; Urban, Karsten
77
1999
Detection of edges in spectral data. Zbl 0952.42001
Gelb, Anne; Tadmor, Eitan
71
1999
A fast randomized algorithm for the approximation of matrices. Zbl 1155.65035
Woolfe, Franco; Liberty, Edo; Rokhlin, Vladimir; Tygert, Mark
71
2008
On approximation of functions by exponential sums. Zbl 1075.65022
Beylkin, Gregory; Monzón, Lucas
71
2005
Incompleteness of sparse coherent states. Zbl 0855.42024
Ramanathan, Jayakumar; Steger, Tim
68
1995
On the stability of frames and Riesz bases. Zbl 0829.46006
Favier, S. J.; Zalik, R. A.
68
1995
From graph to manifold Laplacian: the convergence rate. Zbl 1095.68102
Singer, A.
68
2006
An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach. Zbl 1116.58007
Michor, Peter W.; Mumford, David
68
2007
Oblique dual frames and shift-invariant spaces. Zbl 1043.42027
Christensen, O.; Eldar, Y. C.
67
2004
Frames for operators. Zbl 1230.42038
Găvruţa, Laura
67
2012
On minimax wavelet estimators. Zbl 0865.62023
Delyon, B.; Juditsky, A.
66
1996
On the fast Fourier transform of functions with singularities. Zbl 0838.65142
Beylkin, G.
65
1995
Sparse directional image representations using the discrete shearlet transform. Zbl 1147.68794
Easley, Glenn; Labate, Demetrio; Lim, Wang-Q
65
2008
Shearlet coorbit spaces and associated Banach frames. Zbl 1171.42019
Dahlke, Stephan; Kutyniok, Gitta; Steidl, Gabriele; Teschke, Gerd
65
2009
Continuous curvelet transform. I: Resolution of the wavefront set. Zbl 1086.42022
Candès, Emmanuel J.; Donoho, David L.
64
2005
Diffusion maps, spectral clustering and reaction coordinates of dynamical systems. Zbl 1103.60069
Nadler, Boaz; Lafon, Stéphane; Coifman, Ronald R.; Kevrekidis, Ioannis G.
63
2006
Saving phase: injectivity and stability for phase retrieval. Zbl 1305.90330
Bandeira, Afonso S.; Cahill, Jameson; Mixon, Dustin G.; Nelson, Aaron A.
61
2014
Tight frame: an efficient way for high-resolution image reconstruction. Zbl 1046.42026
Chan, Raymond H.; Riemenschneider, Sherman D.; Shen, Lixin; Shen, Zuowei
60
2004
Synchrosqueezed wavelet transforms: an empirical mode decomposition-like tool. Zbl 1213.42133
Daubechies, Ingrid; Lu, Jianfeng; Wu, Hau-Tieng
60
2011
Density of Gabor frames. Zbl 0960.42007
Christensen, Ole; Deng, Baiqiao; Heil, Christopher
59
1999
Unconditional bases are optimal bases for data compression and for statistical estimation. Zbl 0796.62083
Donoho, David L.
56
1993
Local decomposition of refinable spaces and wavelets. Zbl 0859.42025
Carnicer, J. M.; Dahmen, W.; Peña, J. M.
56
1996
Angular synchronization by eigenvectors and semidefinite programming. Zbl 1206.90116
Singer, A.
56
2011
Wavelets on graphs via spectral graph theory. Zbl 1213.42091
Hammond, David K.; Vandergheynst, Pierre; Gribonval, Rémi
56
2011
Complex wavelets for shift invariant analysis and filtering of signals. Zbl 0990.94005
Kingsbury, Nick
55
2001
Quasilinear subdivision schemes with applications to ENO interpolation. Zbl 1046.65071
Cohen, Albert; Dyn, Nira; Matei, Basarab
55
2003
Sampling and interpolation in Bargmann-Fock spaces of polyanalytic functions. Zbl 1202.31006
Abreu, Luís Daniel
54
2010
A randomized algorithm for the decomposition of matrices. Zbl 1210.65095
Martinsson, Per-Gunnar; Rokhlin, Vladimir; Tygert, Mark
53
2011
Continuous curvelet transform. II: Discretization and frames. Zbl 1086.42023
Candès, Emmanuel J.; Donoho, David L.
53
2005
A characterization of affine dual frames in \(L^2(\mathbb{R}^n)\). Zbl 0961.42018
Bownik, Marcin
52
2000
Pseudo-splines, wavelets and framelets. Zbl 1282.42035
Dong, Bin; Shen, Zuowei
52
2007
Non-uniform weighted average sampling and reconstruction in shift-invariant and wavelet spaces. Zbl 1016.42022
Aldroubi, Akram
51
2002
Inversion of the Lions transmutation operators using generalized wavelets. Zbl 0872.34059
Trimèche, K.
50
1997
Sharp RIP bound for sparse signal and low-rank matrix recovery. Zbl 1310.94021
Cai, T. Tony; Zhang, Anru
50
2013
Orthonormal wavelets and tight frames with arbitrary real dilations. Zbl 0967.42023
Chui, Charles K.; Shi, Xianliang
49
2000
Using the matrix refinement equation for the construction of wavelets on invariant sets. Zbl 0815.42019
Micchelli, Charles A.; Xu, Yuesheng
49
1994
Approximation by exponential sums revisited. Zbl 1189.65035
Beylkin, Gregory; Monzón, Lucas
49
2010
Nonhomogeneous wavelet systems in high dimensions. Zbl 1241.42028
Han, Bin
46
2012
A wavelet collocation method for the numerical solution of partial differential equations. Zbl 0853.65122
Bertoluzza, S.; Naldi, G.
45
1996
The cosparse analysis model and algorithms. Zbl 1261.94018
Nam, S.; Davies, M. E.; Elad, M.; Gribonval, R.
45
2013
Convergence of vector subdivision schemes in Sobolev spaces. Zbl 1006.65153
Chen, Di-Rong; Jia, Rong-Qing; Riemenschneider, S. D.
45
2002
Harmonic analysis of neural networks. Zbl 0931.68104
Candès, Emmanuel J.
45
1999
Pairs of frequency-based nonhomogeneous dual wavelet frames in the distribution space. Zbl 1197.42021
Han, Bin
45
2010
Analysis of multiwindow Gabor-type schemes by frame methods. Zbl 0885.42024
Zibulski, Meir; Zeevi, Yehoshua Y.
44
1997
Wavelets with composite dilations and their MRA properties. Zbl 1086.42026
Guo, Kanghui; Labate, Demetrio; Lim, Wang-Q; Weiss, Guido; Wilson, Edward
44
2006
An algebraic characterization of injectivity in phase retrieval. Zbl 1354.42003
Conca, Aldo; Edidin, Dan; Hering, Milena; Vinzant, Cynthia
43
2015
Concentration estimates for learning with \(\ell ^{1}\)-regularizer and data dependent hypothesis spaces. Zbl 1221.68201
Shi, Lei; Feng, Yun-Long; Zhou, Ding-Xuan
43
2011
Explicit construction of framelets. Zbl 0984.42022
Petukhov, Alexander
43
2001
Wavelet bi-frames with few generators from multivariate refinable functions. Zbl 1221.42062
Ehler, Martin; Han, Bin
42
2008
Wavelets on irregular grids with arbitrary dilation matrices and frame atoms for \(L^2(\mathbb R{^d})\). Zbl 1060.42025
Aldroubi, Akram; Cabrelli, Carlos; Molter, Ursula M.
41
2004
Random sampling of sparse trigonometric polynomials. Zbl 1123.94004
Rauhut, Holger
41
2007
Nonstationary wavelets on the \(m\)-sphere for scattered data. Zbl 0858.42025
Narcowich, Francis J.; Ward, Joseph D.
41
1996
Combined spherical harmonic and wavelet expansion – a future concept in earth’s gravitational determination. Zbl 0865.42029
Freeden, W.; Windheuser, U.
40
1997
Least square regression with indefinite kernels and coefficient regularization. Zbl 1225.65015
Sun, Hongwei; Wu, Qiang
40
2011
Tree approximation and optimal encoding. Zbl 0992.65151
Cohen, Albert; Dahmen, Wolfgang; Daubechies, Ingrid; DeVore, Ronald
40
2001
Optimal linear transmission by loss-insensitive packet encoding. Zbl 1193.42113
Bodmann, Bernhard G.
40
2007
Wavelets on the 2-sphere: A group-theoretical approach. Zbl 0945.42023
Antoine, J.-P.; Vandergheynst, P.
39
1999
Smooth wavelet tight frames with zero moments. Zbl 0972.42025
Selesnick, Ivan W.
38
2001
A characterization of dimension functions of wavelets. Zbl 0979.42018
Bownik, Marcin; Rzeszotnik, Ziemowit; Speegle, Darrin
37
2001
Construction of compactly supported symmetric and antisymmetric orthonormal wavelets with scale \(=3\). Zbl 0814.42016
Chui, Charles K.; Lian, Jian-Ao
37
1995
Geometric harmonics: a novel tool for multiscale out-of-sample extension of empirical functions. Zbl 1095.68095
Coifman, Ronald R.; Lafon, Stéphane
37
2006
Construction of multivariate compactly supported tight wavelet frames. Zbl 1106.42028
Lai, Ming-Jun; Stöckler, Joachim
37
2006
Data-driven tight frame construction and image denoising. Zbl 1336.94008
Cai, Jian-Feng; Ji, Hui; Shen, Zuowei; Ye, Gui-Bo
37
2014
Phase retrieval from coded diffraction patterns. Zbl 1329.78056
Candès, Emmanuel J.; Li, Xiaodong; Soltanolkotabi, Mahdi
37
2015
Variational image restoration by means of wavelets: Simultaneous decomposition, deblurring, and denoising. Zbl 1079.68104
Daubechies, I.; Teschke, G.
36
2005
Wavelet frame based blind image inpainting. Zbl 1261.94006
Dong, Bin; Ji, Hui; Li, Jia; Shen, Zuowei; Xu, Yuhong
36
2012
Stereographic wavelet frames on the sphere. Zbl 1082.42026
Bogdanova, I.; Vandergheynst, P.; Antoine, J.-P.; Jacques, L.; Morvidone, M.
36
2005
Diffusion polynomial frames on metric measure spaces. Zbl 1242.42027
Maggioni, M.; Mhaskar, H. N.
36
2008
Interpolation via weighted \(\ell_{1}\) minimization. Zbl 1333.41003
Rauhut, Holger; Ward, Rachel
36
2016
Robust dimension reduction, fusion frames, and Grassmannian packings. Zbl 1283.42046
Kutyniok, Gitta; Pezeshki, Ali; Calderbank, Robert; Liu, Taotao
35
2009
Wavelets on ultrametric spaces. Zbl 1079.42028
Khrennikov, A. Yu.; Kozyrev, S. V.
35
2005
Exponential spectra in \(L^2(\mu)\). Zbl 1264.42010
He, Xing-Gang; Lai, Chun-Kit; Lau, Ka-Sing
35
2013
Sampling set conditions in weighted multiply generated shift-invariant spaces and their applications. Zbl 1135.42013
Xian, Jun; Li, Song
35
2007
Spectral approximation of the free-space heat kernel. Zbl 0959.65111
Greengard, Leslie; Lin, Patrick
34
2000
On the stability of the PPH nonlinear multiresolution. Zbl 1077.65138
Amat, Sergio; Liandrat, Jacques
34
2005
Some properties of spectral measures. Zbl 1096.42017
Łaba, Izabella; Wang, Yang
34
2006
Time-frequency analysis on modulation spaces \(M_{m}^{p,q}\), \(0 < p,q \leqslant \infty\). Zbl 1040.42025
Galperin, Yevgeniy V.; Samarah, Salti
33
2004
High-dimensional sparse FFT based on sampling along multiple rank-1 lattices. Zbl 1467.65120
Kämmerer, Lutz; Potts, Daniel; Volkmer, Toni
3
2021
Spectrality of self-affine Sierpinski-type measures on \(\mathbb{R}^2\). Zbl 1460.42008
Dai, Xin-Rong; Fu, Xiao-Ye; Yan, Zhi-Hui
3
2021
Almost everywhere generalized phase retrieval. Zbl 1460.42048
Huang, Meng; Rong, Yi; Wang, Yang; Xu, Zhiqiang
2
2021
Gabor phase retrieval is severely ill-posed. Zbl 1464.94008
Alaifari, Rima; Grohs, Philipp
2
2021
Stable super-resolution limit and smallest singular value of restricted Fourier matrices. Zbl 1460.42004
Li, Weilin; Liao, Wenjing
2
2021
Wavelet thresholding for recovery of active sub-signals of a composite signal from its discrete samples. Zbl 1467.42054
Chui, Charles K.; Han, Ningning
2
2021
Quasi-projection operators in weighted \(L_p\) spaces. Zbl 1460.41015
Kolomoitsev, Yu.; Skopina, M.
2
2021
Reproducing kernel Hilbert space compactification of unitary evolution groups. Zbl 07364559
Das, Suddhasattwa; Giannakis, Dimitrios; Slawinska, Joanna
2
2021
The recovery of complex sparse signals from few phaseless measurements. Zbl 1460.94027
Xia, Yu; Xu, Zhiqiang
1
2021
Aliasing error of the \(\exp(\beta\sqrt{1-z^2})\) kernel in the nonuniform fast Fourier transform. Zbl 1464.65295
Barnett, Alex H.
1
2021
Finding duality for Riesz bases of exponentials on multi-tiles. Zbl 1464.42024
Frederick, Christina; Okoudjou, Kasso A.
1
2021
Tempered fractional Brownian motion: wavelet estimation, modeling and testing. Zbl 1461.62152
Boniece, B. Cooper; Didier, Gustavo; Sabzikar, Farzad
1
2021
\(\ell^1\)-analysis minimization and generalized (co-)sparsity: when does recovery succeed? Zbl 1460.94021
Genzel, Martin; Kutyniok, Gitta; März, Maximilian
1
2021
Graph Fourier transform based on \(\ell_1\) norm variation minimization. Zbl 07328477
Yang, Lihua; Qi, Anna; Huang, Chao; Huang, Jianfeng
1
2021
Sparse recovery in bounded Riesz systems with applications to numerical methods for PDEs. Zbl 07364447
Brugiapaglia, Simone; Dirksen, Sjoerd; Jung, Hans Christian; Rauhut, Holger
1
2021
Low-rank matrix recovery via regularized nuclear norm minimization. Zbl 07364556
Wang, Wendong; Zhang, Feng; Wang, Jianjun
1
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Data-driven spectral analysis of the Koopman operator. Zbl 1436.37093
Korda, Milan; Putinar, Mihai; Mezić, Igor
11
2020
Universality of deep convolutional neural networks. Zbl 1434.68531
Zhou, Ding-Xuan
10
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Optimal rates for spectral algorithms with least-squares regression over Hilbert spaces. Zbl 1436.62146
Lin, Junhong; Rudi, Alessandro; Rosasco, Lorenzo; Cevher, Volkan
8
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Phase retrieval from local measurements: improved robustness via eigenvector-based angular synchronization. Zbl 07140142
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7
2020
Learning with correntropy-induced losses for regression with mixture of symmetric stable noise. Zbl 1436.62308
Feng, Yunlong; Ying, Yiming
6
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Phase retrieval of real-valued signals in a shift-invariant space. Zbl 1436.94017
Chen, Yang; Cheng, Cheng; Sun, Qiyu; Wang, Haichao
6
2020
Asymptotic normality for wavelet deconvolution density estimators. Zbl 1440.42176
Liu, Youming; Zeng, Xiaochen
5
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Adaptive synchrosqueezing transform with a time-varying parameter for non-stationary signal separation. Zbl 1450.42020
Li, Lin; Cai, Haiyan; Jiang, Qingtang
5
2020
Balancing principle in supervised learning for a general regularization scheme. Zbl 07140131
Lu, Shuai; Mathé, Peter; Pereverzev, Sergei V.
4
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Super-resolution by means of Beurling minimal extrapolation. Zbl 1439.43004
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4
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Distributed kernel gradient descent algorithm for minimum error entropy principle. Zbl 1434.68416
Hu, Ting; Wu, Qiang; Zhou, Ding-Xuan
4
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Isotropic sparse regularization for spherical harmonic representations of random fields on the sphere. Zbl 1462.60064
Le Gia, Quoc Thong; Sloan, Ian H.; Womersley, Robert S.; Wang, Yu Guang
4
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Learning under \((1 + \epsilon)\)-moment conditions. Zbl 1442.62150
Feng, Yunlong; Wu, Qiang
4
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Interpolating splines on graphs for data science applications. Zbl 1442.41001
Ward, John Paul; Narcowich, Francis J.; Ward, Joseph D.
4
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Tight framelets and fast framelet filter bank transforms on manifolds. Zbl 1447.42033
Wang, Yu Guang; Zhuang, Xiaosheng
3
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On dissipative nonlinear evolutional pseudo-differential equations. Zbl 1447.35405
Chen, Mingjuan; Wang, Baoxiang; Wang, Shuxia; Wong, M. W.
3
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On the stable sampling rate for binary measurements and wavelet reconstruction. Zbl 1454.94032
Hansen, A. C.; Thesing, L.
3
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Intertwining wavelets or multiresolution analysis on graphs through random forests. Zbl 1454.94022
Avena, Luca; Castell, Fabienne; Gaudillière, Alexandre; Mélot, Clothilde
3
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Large data and zero noise limits of graph-based semi-supervised learning algorithms. Zbl 1442.62768
Dunlop, Matthew M.; Slepčev, Dejan; Stuart, Andrew M.; Thorpe, Matthew
3
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Convergence of online mirror descent. Zbl 07140139
Lei, Yunwen; Zhou, Ding-Xuan
2
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Modulation spaces with scaling symmetry. Zbl 1440.42101
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2
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On signal reconstruction from FROG measurements. Zbl 1454.94023
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2
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Gaussian and sparse processes are limits of generalized Poisson processes. Zbl 1431.60037
Fageot, Julien; Uhlmann, Virginie; Unser, Michael
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How to get high resolution results from sparse and coarsely sampled data. Zbl 1442.94020
Cuyt, Annie; Lee, Wen-shin
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Quasi-tight framelets with high vanishing moments derived from arbitrary refinable functions. Zbl 1437.42052
Diao, Chenzhe; Han, Bin
2
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Multi-view kernel consensus for data analysis. Zbl 1434.68537
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2
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Koopman spectra in reproducing kernel Hilbert spaces. Zbl 1446.37072
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2
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Tiling functions and Gabor orthonormal basis. Zbl 1440.42141
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1
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The shape of data and probability measures. Zbl 1464.62321
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Diffusion maps tailored to arbitrary non-degenerate Itô processes. Zbl 1456.60198
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1
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On the convergence of cardinal splines. Zbl 1457.41003
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1
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1
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The noise-sensitivity phase transition in spectral group synchronization over compact groups. Zbl 07242756
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1
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Ball prolate spheroidal wave functions in arbitrary dimensions. Zbl 1445.42018
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1
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Analysis of edge and corner points using parabolic dictionaries. Zbl 1439.42046
Grohs, Philipp; Kereta, Željko
1
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Investigations on the approximability and computability of the Hilbert transform with applications. Zbl 1452.44005
Boche, Holger; Pohl, Volker
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Uniform recovery from subgaussian multi-sensor measurements. Zbl 1454.94024
Chun, Il Yong; Adcock, Ben
1
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Approximate support recovery of atomic line spectral estimation: a tale of resolution and precision. Zbl 1436.62081
Li, Qiuwei; Tang, Gongguo
1
2020
An edge driven wavelet frame model for image restoration. Zbl 1454.94013
Choi, Jae Kyu; Dong, Bin; Zhang, Xiaoqun
1
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Perspectives on CUR decompositions. Zbl 1432.15014
Hamm, Keaton; Huang, Longxiu
1
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Adaptive multi-penalty regularization based on a generalized Lasso path. Zbl 1434.68408
Grasmair, Markus; Klock, Timo; Naumova, Valeriya
1
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Complex best \(r\)-term approximations almost always exist in finite dimensions. Zbl 07193975
Qi, Yang; Michałek, Mateusz; Lim, Lek-Heng
1
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Holographic sensing. Zbl 1437.62698
Bruckstein, A. M.; Ezerman, M. F.; Fahreza, A. A.; Ling, S.
1
2020
Fixed-point proximity algorithm for minimal norm interpolation. Zbl 1440.15015
Li, Zheng; Micchelli, Charles A.; Xu, Yuesheng
1
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Preserving injectivity under subgaussian mappings and its application to compressed sensing. Zbl 1448.94053
Casazza, Peter G.; Chen, Xuemei; Lynch, Richard G.
1
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Data-driven spectral decomposition and forecasting of ergodic dynamical systems. Zbl 1420.37113
Giannakis, Dimitrios
14
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Molecular decomposition of anisotropic homogeneous mixed-norm spaces with applications to the boundedness of operators. Zbl 1428.42039
Cleanthous, Galatia; Georgiadis, Athanasios G.; Nielsen, Morten
13
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Rapid, robust, and reliable blind deconvolution via nonconvex optimization. Zbl 1422.94013
Li, Xiaodong; Ling, Shuyang; Strohmer, Thomas; Wei, Ke
11
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Generalized phase retrieval: measurement number, matrix recovery and beyond. Zbl 1423.42059
Wang, Yang; Xu, Zhiqiang
9
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Compressed sensing with structured sparsity and structured acquisition. Zbl 1454.94010
Boyer, Claire; Bigot, Jérémie; Weiss, Pierre
9
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Fast and provable algorithms for spectrally sparse signal reconstruction via low-rank Hankel matrix completion. Zbl 1442.94017
Cai, Jian-Feng; Wang, Tianming; Wei, Ke
8
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Spatially distributed sampling and reconstruction. Zbl 1435.94164
Cheng, Cheng; Jiang, Yingchun; Sun, Qiyu
7
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Fast and backward stable transforms between spherical harmonic expansions and bivariate Fourier series. Zbl 07121495
Slevinsky, Richard Mikaël
6
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Compressed sensing with local structure: uniform recovery guarantees for the sparsity in levels class. Zbl 1415.94162
Li, Chen; Adcock, Ben
5
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Frame properties of systems arising via iterated actions of operators. Zbl 1428.42056
Christensen, Ole; Hasannasab, Marzieh
5
2019
Optimal RIP bounds for sparse signals recovery via \(\ell_p\) minimization. Zbl 1422.94018
Zhang, Rui; Li, Song
5
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Vandermonde matrices with nodes in the unit disk and the large sieve. Zbl 1420.15005
Aubel, Céline; Bölcskei, Helmut
5
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Toward the classification of biangular harmonic frames. Zbl 1431.42053
Casazza, Peter G.; Farzannia, Amineh; Haas, John I.; Tran, Tin T.
4
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The fast Slepian transform. Zbl 1416.65573
Karnik, Santhosh; Zhu, Zhihui; Wakin, Michael B.; Romberg, Justin; Davenport, Mark A.
4
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Constructing spatial discretizations for sparse multivariate trigonometric polynomials that allow for a fast discrete Fourier transform. Zbl 1423.60012
Kämmerer, Lutz
4
2019
Shift-invariant and sampling spaces associated with the special affine Fourier transform. Zbl 1409.94841
Bhandari, Ayush; Zayed, Ahmed I.
4
2019
The spectrogram expansion of Wigner functions. Zbl 1417.81019
Keller, Johannes
4
2019
Distributed learning with multi-penalty regularization. Zbl 1431.68107
Guo, Zheng-Chu; Lin, Shao-Bo; Shi, Lei
3
2019
Functional reproducing kernel Hilbert spaces for non-point-evaluation functional data. Zbl 1423.46046
Wang, Rui; Xu, Yuesheng
3
2019
Polyphase equiangular tight frames and abelian generalized quadrangles. Zbl 1423.42053
Fickus, Matthew; Jasper, John; Mixon, Dustin G.; Peterson, Jesse D.; Watson, Cody E.
3
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The Radon transform intertwines wavelets and shearlets. Zbl 1440.42167
Bartolucci, Francesca; De Mari, Filippo; De Vito, Ernesto; Odone, Francesca
3
2019
Sharp sufficient conditions for stable recovery of block sparse signals by block orthogonal matching pursuit. Zbl 1422.94017
Wen, Jinming; Zhou, Zhengchun; Liu, Zilong; Lai, Ming-Jun; Tang, Xiaohu
3
2019
Quantized compressed sensing for random circulant matrices. Zbl 1422.94011
Feng, Joe-Mei; Krahmer, Felix; Saab, Rayan
3
2019
An enhancement algorithm for cyclic adaptive Fourier decomposition. Zbl 1426.41012
Qian, Tao; Wang, Jianzhong; Mai, Weixiong
3
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Computing reconstructions from nonuniform Fourier samples: universality of stability barriers and stable sampling rates. Zbl 1459.42003
Adcock, Ben; Gataric, Milana; Romero, José Luis
3
2019
Fixed-point algorithms for frequency estimation and structured low rank approximation. Zbl 06967580
Andersson, Fredrik; Carlsson, Marcus
3
2019
Extension principles for affine dual frames in reducing subspaces. Zbl 1405.42056
Li, Yun-Zhang; Zhang, Jian-Ping
3
2019
On the diffusion geometry of graph Laplacians and applications. Zbl 1412.35353
Cheng, Xiuyuan; Rachh, Manas; Steinerberger, Stefan
2
2019
Regularity of anisotropic refinable functions. Zbl 07121502
Charina, Maria; Protasov, Vladimir Yu.
2
2019
Probing the geometry of data with diffusion Fréchet functions. Zbl 1441.62042
Díaz Martínez, Diego H.; Lee, Christine H.; Kim, Peter T.; Mio, Washington
2
2019
Diffusion nets. Zbl 1430.68278
Mishne, Gal; Shaham, Uri; Cloninger, Alexander; Cohen, Israel
2
2019
Deformed Laplacians and spectral ranking in directed networks. Zbl 1433.05191
Fanuel, M.; Suykens, J. A. K.
2
2019
The unitary extension principle on locally compact abelian groups. Zbl 1440.42149
Christensen, Ole; Goh, Say Song
2
2019
Analysis of time-frequency scattering transforms. Zbl 1419.42025
Czaja, Wojciech; Li, Weilin
2
2019
Probabilistic tight frames and representation of positive operator-valued measures. Zbl 1416.42038
Maslouhi, M.; Loukili, S.
2
2019
Sampling and approximation of bandlimited volumetric data. Zbl 1419.42022
Katz, Rami; Shkolnisky, Yoel
2
2019
On the solution of elliptic partial differential equations on regions with corners. II: Detailed analysis. Zbl 1410.35027
Serkh, Kirill
2
2019
Bendlets: a second-order shearlet transform with bent elements. Zbl 1415.42027
Lessig, Christian; Petersen, Philipp; Schäfer, Martin
2
2019
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Cited by 8,131 Authors

58 Shen, Zuowei
55 Christensen, Ole
52 Sun, Wenchang
49 Han, Deguang
48 Chui, Charles Kam-tai
48 Han, Bin
47 Li, Song
45 Kutyniok, Gitta
45 Li, Yunzhang
43 Casazza, Peter George
43 Gröchenig, Karlheinz
43 Sun, Qiyu
43 Zhou, Dingxuan
38 Mhaskar, Hrushikesh N.
37 Jiang, Qingtang
36 Amat, Sergio P.
35 Jørgensen, Palle E. T.
35 Xu, Yuesheng
34 Rauhut, Holger
33 Chesneau, Christophe
32 Dahlke, Stephan
32 Plonka, Gerlind
31 Kim, Hong Oh
31 Mixon, Dustin G.
30 Averbuch, Amir Z.
30 Beylkin, Gregory
30 Chen, Dirong
30 Labate, Demetrio
30 Liandrat, Jacques
29 Steidl, Gabriele
28 Yang, Shouzhi
27 Grohs, Philipp
27 Kim, Rae Young
27 Nielsen, Morten
26 Bownik, Marcin
26 Fickus, Matthew C.
26 García, Antonio G.
26 Potts, Daniel
25 Gelb, Anne
25 Shah, Firdous Ahmad
25 Ying, Lexing
24 Adcock, Ben
24 Arefijamaal, Ali Akbar
24 Charina, Maria
24 Coifman, Ronald Raphaël
24 Gabardo, Jean-Pierre
24 Skopina, Maria A.
23 Bodmann, Bernhard G.
23 Cordero, Elena
23 Goh, Say Song
23 Huang, Ting-Zhu
23 Krahmer, Felix
23 Nicola, Fabio
22 Aldroubi, Akram
22 Cai, Jian-Feng
22 Dutkay, Dorin Ervin
22 Feichtinger, Hans Georg
22 Greengard, Leslie F.
22 Karoui, Abderrazek
22 Khrennikov, Andreĭ Yur’evich
21 Balazs, Peter
21 Candès, Emmanuel J.
21 Dahmen, Wolfgang A.
21 Ehler, Martin
21 Lim, Jae Kun
21 Pfander, Götz E.
21 Powell, Alexander M.
21 Rahimi, Asghar
21 Zhuang, Xiaosheng
20 Benedetto, John J.
20 Daubechies, Ingrid Chantal
20 Kevrekidis, Ioannis George
20 Shen, Lixin
20 Trillo, Juan Carlos
20 Wu, Hau-Tieng
19 De Vito, Ernesto
19 Fadili, Jalal M.
19 Fornasier, Massimo
19 Huang, Yongdong
19 Ji, Hui
19 Rokhlin, Vladimir
19 Singer, Amit
19 Xian, Jun
19 Zhou, Xingwei
18 Conti, Costanza
18 Guo, Kanghui
18 Jiang, Shidong
18 Liu, Youming
18 Romero, José Luis
18 Stöckler, Joachim
18 Sun, Hongwei
18 Toft, Joachim
18 Yang, Haizhao
17 Cabrelli, Carlos A.
17 Krishtal, Ilya Arkadievich
17 Lai, Chun-Kit
17 Massey, Pedro G.
17 Molter, Ursula Maria
17 Pérez-Villalón, Gerardo
17 Shi, Xianliang
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Cited in 640 Journals

850 Applied and Computational Harmonic Analysis
318 The Journal of Fourier Analysis and Applications
257 International Journal of Wavelets, Multiresolution and Information Processing
205 Journal of Computational Physics
199 Journal of Mathematical Analysis and Applications
193 Advances in Computational Mathematics
174 Journal of Computational and Applied Mathematics
153 Journal of Approximation Theory
122 Linear Algebra and its Applications
116 Applied Mathematics and Computation
98 Journal of Functional Analysis
98 SIAM Journal on Imaging Sciences
92 Journal of Scientific Computing
85 Mathematics of Computation
83 The Annals of Statistics
81 SIAM Journal on Scientific Computing
77 Journal of Mathematical Imaging and Vision
71 Analysis and Applications (Singapore)
69 Constructive Approximation
68 Numerical Functional Analysis and Optimization
67 Inverse Problems
66 Proceedings of the American Mathematical Society
65 Mathematical Problems in Engineering
54 Foundations of Computational Mathematics
52 Acta Mathematica Sinica. English Series
52 Science China. Mathematics
51 Acta Applicandae Mathematicae
48 Transactions of the American Mathematical Society
48 Applied Numerical Mathematics
48 Numerical Algorithms
47 Results in Mathematics
45 Computers & Mathematics with Applications
45 Electronic Journal of Statistics
41 The Journal of Geometric Analysis
41 Abstract and Applied Analysis
40 Applicable Analysis
40 Numerische Mathematik
40 Engineering Analysis with Boundary Elements
38 Inverse Problems and Imaging
37 Circuits, Systems, and Signal Processing
37 Neural Computation
37 Complex Analysis and Operator Theory
36 Computer Aided Geometric Design
36 Journal of Complexity
36 Journal of Pseudo-Differential Operators and Applications
34 Journal of Mathematical Physics
33 Multiscale Modeling & Simulation
32 Mediterranean Journal of Mathematics
31 Journal of Inequalities and Applications
30 Journal of Multivariate Analysis
30 Signal Processing
29 Multidimensional Systems and Signal Processing
29 Journal of Machine Learning Research (JMLR)
28 Mathematical Methods in the Applied Sciences
26 SIAM Journal on Matrix Analysis and Applications
25 Computer Methods in Applied Mechanics and Engineering
25 Monatshefte für Mathematik
25 SIAM Journal on Numerical Analysis
25 Statistics & Probability Letters
24 SIAM Journal on Optimization
23 Advances in Mathematics
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23 Pattern Recognition
23 Applied Mathematics. Series B (English Edition)
22 BIT
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21 Linear and Multilinear Algebra
21 Integral Transforms and Special Functions
21 Information and Inference
20 Information Sciences
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20 International Journal of Computer Mathematics
19 Chaos, Solitons and Fractals
19 SIAM Journal on Mathematical Analysis
18 Mathematische Nachrichten
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18 Mathematical Programming. Series A. Series B
18 Computational Optimization and Applications
18 Journal of Mathematical Sciences (New York)
18 Chaos
18 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
17 Mathematics and Computers in Simulation
17 Communications in Statistics. Theory and Methods
17 GEM - International Journal on Geomathematics
17 Sahand Communications in Mathematical Analysis
16 Computational Statistics and Data Analysis
16 Bernoulli
16 Comptes Rendus. Mathématique. Académie des Sciences, Paris
16 EURASIP Journal on Advances in Signal Processing
16 Banach Journal of Mathematical Analysis
16 Journal of Function Spaces
15 Journal de Mathématiques Pures et Appliquées. Neuvième Série
15 Journal of Nonparametric Statistics
15 SIAM/ASA Journal on Uncertainty Quantification
14 Journal of the Franklin Institute
14 Discrete & Computational Geometry
14 International Journal of Computer Vision
14 Asian-European Journal of Mathematics
13 Rocky Mountain Journal of Mathematics
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Cited in 62 Fields

3,205 Harmonic analysis on Euclidean spaces (42-XX)
2,568 Numerical analysis (65-XX)
1,716 Information and communication theory, circuits (94-XX)
916 Statistics (62-XX)
808 Computer science (68-XX)
800 Approximations and expansions (41-XX)
742 Functional analysis (46-XX)
633 Partial differential equations (35-XX)
475 Operations research, mathematical programming (90-XX)
451 Operator theory (47-XX)
366 Probability theory and stochastic processes (60-XX)
320 Linear and multilinear algebra; matrix theory (15-XX)
211 Abstract harmonic analysis (43-XX)
206 Biology and other natural sciences (92-XX)
188 Fluid mechanics (76-XX)
181 Calculus of variations and optimal control; optimization (49-XX)
147 Integral transforms, operational calculus (44-XX)
146 Combinatorics (05-XX)
137 Special functions (33-XX)
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99 Mechanics of deformable solids (74-XX)
97 Optics, electromagnetic theory (78-XX)
97 Systems theory; control (93-XX)
84 Differential geometry (53-XX)
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78 Topological groups, Lie groups (22-XX)
66 Geophysics (86-XX)
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55 Potential theory (31-XX)
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35 Difference and functional equations (39-XX)
28 Algebraic geometry (14-XX)
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1 Category theory; homological algebra (18-XX)
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